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    Question

    ‘D’, ‘E’, and ‘F’ started a business with

    initial investments of Rs. 18000, Rs. 15000, and Rs. 24000, respectively. A condition was set that y% of the total profit would be reinvested into the business, and the rest would be divided among them according to their investment ratios. If the profit at the end of the year was Rs. 55000 and ‘E’ received Rs. 12500, find the value of ‘y’.
    A 20.20 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 18.18 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of the investments of ‘D’, ‘E’, and ‘F’ = 18000:15000:24000 = 3:2:4. Amount to be divided among them = Rs. {55000 × (100 - y)/100}. According to the question, {55000 × (100 - y)/100} × 2/9 = 12500, Or, 100 – y = 12500 × 100 × 9/2 × 1/55000, Or, 100 – y = 81.82, Or, y ≈ 18.18.

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